continuous optimization

8 questions on Convexity and optimization under constraints, second order and hessian differentiability, gateaux & frechet differentiability, least square minimization, lagrange multiplier, and Kuhn-Tucker application

You will receive the assignment at 10 : 00 am CEST or 4 : 00 am EST. complete the work within one hour and forty five minutes and submit it to me by 11:45 am CEST or 5:45 AM EST.